14005000200 has 192 divisors, whose sum is σ = 44945694720. Its totient is φ = 3603744000.

The previous prime is 14005000147. The next prime is 14005000213. The reversal of 14005000200 is 200050041.

It is a super-2 number, since 2×14005000200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8015727 + ... + 8017473.

It is an arithmetic number, because the mean of its divisors is an integer number (234092160).

Almost surely, 2^14005000200 is an apocalyptic number.

14005000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14005000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22472847360).

14005000200 is an abundant number, since it is smaller than the sum of its proper divisors (30940694520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14005000200 is a wasteful number, since it uses less digits than its factorization.

14005000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

Adding to 14005000200 its reverse (200050041), we get a palindrome (14205050241).

The spelling of 14005000200 in words is "fourteen billion, five million, two hundred", and thus it is an aban number.